# Generated Code

The following is python code generated by the CellML API from this CellML file. (Back to language selection)

The raw code is available.

```# Size of variable arrays:
sizeAlgebraic = 3
sizeStates = 1
sizeConstants = 6
from math import *
from numpy import *

def createLegends():
legend_states = [""] * sizeStates
legend_rates = [""] * sizeStates
legend_algebraic = [""] * sizeAlgebraic
legend_voi = ""
legend_constants = [""] * sizeConstants
legend_voi = "x in component main (dimensionless)"
legend_algebraic = "sin1 in component main (dimensionless)"
legend_states = "sin2 in component main (dimensionless)"
legend_algebraic = "sin3 in component main (dimensionless)"
legend_constants = "k2_oPi in component main (dimensionless)"
legend_constants = "k2Pi in component main (dimensionless)"
legend_constants = "kPi_2 in component main (dimensionless)"
legend_constants = "kPi in component main (dimensionless)"
legend_constants = "kPi_32 in component main (dimensionless)"
legend_algebraic = "z in component main (dimensionless)"
legend_constants = "C in component main (dimensionless)"
legend_rates = "d/dt sin2 in component main (dimensionless)"
return (legend_states, legend_algebraic, legend_voi, legend_constants)

def initConsts():
constants = [0.0] * sizeConstants; states = [0.0] * sizeStates;
states = 0
constants = 0.75
constants = 2.00000/ pi
constants = 2.00000* pi
constants =  pi/2.00000
constants =  pi
constants = (3.00000* pi)/2.00000
return (states, constants)

def computeRates(voi, states, constants):
rates = [0.0] * sizeStates; algebraic = [0.0] * sizeAlgebraic
rates = cos(voi)
return(rates)

def computeAlgebraic(constants, states, voi):
algebraic = array([[0.0] * len(voi)] * sizeAlgebraic)
states = array(states)
voi = array(voi)
algebraic = sin(voi)
algebraic = custom_piecewise([less(voi , constants), voi*constants-0.500000 , less(voi , constants), ( pi-voi)*constants-0.500000 , less(voi , constants), (voi- pi)*constants-0.500000 , True, (constants-voi)*constants-0.500000])
algebraic = custom_piecewise([less(voi , constants), -(algebraic*algebraic)+constants+algebraic , less(voi , constants), -(algebraic*algebraic)+constants+algebraic , less(voi , constants), (algebraic*algebraic-constants)-algebraic , True, (algebraic*algebraic-constants)-algebraic])
return algebraic

def custom_piecewise(cases):
"""Compute result of a piecewise function"""
return select(cases[0::2],cases[1::2])

def solve_model():
"""Solve model with ODE solver"""
from scipy.integrate import ode
# Initialise constants and state variables
(init_states, constants) = initConsts()

# Set timespan to solve over
voi = linspace(0, 10, 500)

# Construct ODE object to solve
r = ode(computeRates)
r.set_integrator('vode', method='bdf', atol=1e-06, rtol=1e-06, max_step=1)
r.set_initial_value(init_states, voi)
r.set_f_params(constants)

# Solve model
states = array([[0.0] * len(voi)] * sizeStates)
states[:,0] = init_states
for (i,t) in enumerate(voi[1:]):
if r.successful():
r.integrate(t)
states[:,i+1] = r.y
else:
break

# Compute algebraic variables
algebraic = computeAlgebraic(constants, states, voi)
return (voi, states, algebraic)

def plot_model(voi, states, algebraic):
"""Plot variables against variable of integration"""
import pylab
(legend_states, legend_algebraic, legend_voi, legend_constants) = createLegends()
pylab.figure(1)
pylab.plot(voi,vstack((states,algebraic)).T)
pylab.xlabel(legend_voi)
pylab.legend(legend_states + legend_algebraic, loc='best')
pylab.show()

if __name__ == "__main__":
(voi, states, algebraic) = solve_model()
plot_model(voi, states, algebraic)
```
Source
Derived from workspace Sine-Approximations at changeset 9d669cfc03c5.
Collaboration
To begin collaborating on this work, please use your git client and issue this command: